I'm not sure how to solve the following reccurence:

By using generating functions solve the reccurence. Find both the generating function and the closed form solution of the sequence:

$\displaystyle \\a_{0} =0, \\a_{1} = 1, \\a_{n} = 7a_{n-1} - 10a_{n-2} + 2 , \: for \: n \geq 2$